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JJ vs AKs

JJ
VS
AKs
54.1%
equity for JJ — AKs takes 45.9%

Pair against two overcards — the classic coinflip, with the pair a shade ahead.

JJ Win
53.9%
Tie
0.4%
JJ Lose
45.7%
Card combinations
24
JJ vs random
77.5% · #4
AKs vs random
67.2% · #8
Breakdown

Win, tie and loss for JJ

Win 53.9%Lose 45.7%

When JJ and AKs get all in before the flop, JJ wins 54.1% of the time and AKs takes 45.9%. Broken down, JJ wins outright 53.9%, chops 0.4% and loses 45.7% — a margin of 8.1 points. Pair against two overcards — the classic coinflip, with the pair a shade ahead.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 54.0% (for example Js Jh against Ad Kd); with one shared suit it is 54.2% (Js Jh against As Ks). That is a spread of 0.23 points across the 24 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes JJ 45.1%, AKs 40.0%, random 14.9%. JJ gives up 9 points and AKs gives up 5.9, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, JJ is worth 77.5% against a random hand (rank 4 of 169) and AKs is worth 67.2% (rank 8). The gap between them in the ranking is only 10.3 points, yet head to head the gap is 8.1 points, which is roughly what the ranking table predicts.

Framed as a run of one hundred identical all-ins, JJ scoops roughly 54 pots, splits about one, and loses the remaining 46. Against eight random opponents rather than this one specific hand, JJ would be down to 21.7% and AKs to 22.4%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AKs's side, 45.9% is the break-even point for calling an all-in at 1.18:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 45.9% of the pot you are playing for. JJ holds the other 54.1% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes AKs really does hold exactly AKs; against the wider range a player would actually get all in with, JJ's 54.1% moves. Use the individual pages for JJ and AKs to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

By shared suits

Overlapping suits move the number

200,000 simulated showdowns per condition. The example column shows one concrete four-card layout.

ConditionExampleCombosJJ EquityWinTieLose
No shared suitJs Jh vs Ad Kd1254.0%53.8%0.4%45.9%
One shared suitJs Jh vs As Ks1254.2%54.0%0.5%45.6%
Three-way

Adding a random third hand

200,000 simulated showdowns, with the third hand dealt at random each time.

JJ
45.1%
vs heads-up -9.0pt
AKs
40.0%
vs heads-up -5.9pt
Random third hand
14.9%
Player count

At a bigger table

Random opponentsJJAKs
177.5%67.2%
261.4%50.3%
440.2%35.4%
821.7%22.4%

Related

FAQ

JJ or AKs — which is ahead preflop?

JJ is the favourite. JJ takes 54.1% and AKs 45.9%, a margin of 8.1 points, with 0.4% of hands ending in a chop.

Do the suits change JJ vs AKs?

Yes. With no shared suit it is 54.0%, and with one shared suit it is 54.2% — a swing of up to 0.23 points.

What happens three-way?

With one extra random hand in the pot the split is JJ 45.1%, AKs 40.0%, random 14.9%. JJ drops 9 points compared with heads-up.

424 words / 28 distinct figures — Method